Pith Number

pith:OZX3ZI3F

pith:2013:OZX3ZI3F2EFKTJSO6NSZK6K4KZ

not attested not anchored not stored refs pending

Strong immersions and maximum degree

Tereza Klimosova, Zdenek Dvorak

arxiv:1304.0728 v1 · 2013-04-02 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OZX3ZI3F2EFKTJSO6NSZK6K4KZ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:29:14.461474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

766fbca365d10aa9a64ef36595795c565586db953137a1a70dc2f7058527200e

Aliases

arxiv: 1304.0728 · arxiv_version: 1304.0728v1 · doi: 10.48550/arxiv.1304.0728 · pith_short_12: OZX3ZI3F2EFK · pith_short_16: OZX3ZI3F2EFKTJSO · pith_short_8: OZX3ZI3F

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/OZX3ZI3F2EFKTJSO6NSZK6K4KZ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 766fbca365d10aa9a64ef36595795c565586db953137a1a70dc2f7058527200e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7df2ef2568324e97ba45dee0921ab3b2924b2d5e735e5334c40e75b150290bb6",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-02T18:30:32Z",
    "title_canon_sha256": "f0636667323e97581a4f0f9b333f64abe6ca3be94313c63c44a2b7e114bf4b04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0728",
    "kind": "arxiv",
    "version": 1
  }
}